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Finding the Fourth Proportional to 2,383.74, 3,290.73 and 1,588.38

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Solution

The fourth proportional to 2,383.74, 3,290.73 and 1,588.38 is: 2,192.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.74 : 3,290.73 = 1,588.38 : x
  2. Step 2: Convert to fraction form
    2,383.74/3,290.73 = 1,588.38/x
  3. Step 3: Cross multiply
    2,383.74x = 3,290.73 × 1,588.38
  4. Step 4: Simplify right side
    2,383.74x = 5,226,929.72
  5. Step 5: Solve for x
    x = 5,226,929.72/2,383.74
  6. Step 6: Final answer
    x = 2,192.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.